As previously stated, the two–field dark energy models in the form of quintom scenarios can explain the dynamical evolution of the dark energy equation of state and the possible crossing of the phantom divide line in the near past [1]}. This aspect is exhibited in the minimal coupling case, where the fields have only kinetic and potential energies, as well as in the non–minimal models which take into account various geometrical invariant components in the specific action [1]}. To this regard, the basic two–field dark energy models can in principle be extended, by considering particular invariant components based on third order contractions of the Riemann tensor.
